Abstract: Method of automatic finishing of a free-form contoured metal or hard die surface, comprising: providing a rotating brush with a central hub carried by a driving spindle for rotation about the hub axis; providing the brush hub with a plurality of closely spaced resilient and independently flexible strands possessing abrasive polishing particles, each strand being secured at one end in the hub and having its other end extending radially away therefrom to present an apparent curved surface of closely spaced strand ends (the series of touching or closely spaced strand ends forming at least a portion of a spherical surface); and rotatingly driving the hub and strands at a constant torque while dragging the ends of said strands across the die surface while in contact therewith to effect the desired degree of polishing. The coating of abrasive polishing particles can be selected from the group of aluminum oxide, silicon oxide or silicon carbide.